5 problems

Superpotential conjecture. The obstruction theory of any holomorphic object on a Calabi–Yau manifold should be governed by a superpotential.

Integral intrinsic-torsion conjecture. The conjectured singlet intrinsic-torsion description is

Intrinsic-torsion conjecture. The superpotential is given by the singlet part of the intrinsic torsion, equivalently

Let $J$ be a TCS $G_2$-manifold, and let the three-cycles under consideration be the cycles identified by matching dual three-cycles in the TCS construction. Calibrated three-cycle…

The proposed functional is the EGG $\operatorname{\mathit{SU}}(7)$-invariant functional associated with the $\operatorname{\mathit{SU}}(7)$ structure defined by $phi$, including th…